---
OA_place: publisher
OA_type: hybrid
_id: '15313'
abstract:
- lang: eng
  text: Our goal is to investigate fundamental properties of the system of internally
    cooled convection. The system consists of an upward thermal flux at the lower
    boundary, a mean temperature lapse-rate and a constant cooling term in the bulk
    with the bulk cooling in thermal equilibrium with the input heat flux. This simple
    model represents idealised dry convection in the atmospheric boundary layer, where
    the cooling mimics the radiative cooling to space notably through longwave radiation.
    We perform linear stability analysis of the model for different values of the
    mean stratification to derive the critical forcing above which the fluid is convectively
    unstable to small perturbations. The dynamic behavior of the fluid system is described
    and the scaling of various important measured quantities such as the total vertical
    convective heat flux and the upward mass flux is measured. We introduce a lapse-rate
    dependent dimensionless Rayleigh-number Ray that determines the behavior of the
    system, finding that the convective heat-flux and mass-flux scale approximately
    as Ray0.5 and Ray0.7 respectively. The area-fraction of the domain that is occupied
    by upward and downward moving fluid and the skewness of the vertical velocity
    are studied to understand the asymmetry inherent in the system. We conclude with
    a short discussion on the relevance to atmospheric convection and the scope for
    further investigations of atmospheric convection using similar simplified approaches.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: This project has received funding from the European Union’s Horizon
  2020 research and innovation programme under the Marie Sklodowska–Curie grant agreement
  No. 101034413. CM gratefully acknowledges funding from the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation program (Project
  CLUSTER, Grant Agreement No. 805041). This research was supported by the Scientific
  Service Units (SSU) of IST Austria through resources provided by Scientific Computing
  (SciComp).
article_number: '108011'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lokahith N
  full_name: Agasthya, Lokahith N
  id: cd100965-0804-11ed-9c55-f4878ff4e877
  last_name: Agasthya
- first_name: Caroline J
  full_name: Muller, Caroline J
  id: f978ccb0-3f7f-11eb-b193-b0e2bd13182b
  last_name: Muller
  orcid: 0000-0001-5836-5350
citation:
  ama: Agasthya LN, Muller CJ. Dynamics and scaling of internally cooled convection.
    <i>Communications in Nonlinear Science and Numerical Simulation</i>. 2024;134.
    doi:<a href="https://doi.org/10.1016/j.cnsns.2024.108011">10.1016/j.cnsns.2024.108011</a>
  apa: Agasthya, L. N., &#38; Muller, C. J. (2024). Dynamics and scaling of internally
    cooled convection. <i>Communications in Nonlinear Science and Numerical Simulation</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.cnsns.2024.108011">https://doi.org/10.1016/j.cnsns.2024.108011</a>
  chicago: Agasthya, Lokahith N, and Caroline J Muller. “Dynamics and Scaling of Internally
    Cooled Convection.” <i>Communications in Nonlinear Science and Numerical Simulation</i>.
    Elsevier, 2024. <a href="https://doi.org/10.1016/j.cnsns.2024.108011">https://doi.org/10.1016/j.cnsns.2024.108011</a>.
  ieee: L. N. Agasthya and C. J. Muller, “Dynamics and scaling of internally cooled
    convection,” <i>Communications in Nonlinear Science and Numerical Simulation</i>,
    vol. 134. Elsevier, 2024.
  ista: Agasthya LN, Muller CJ. 2024. Dynamics and scaling of internally cooled convection.
    Communications in Nonlinear Science and Numerical Simulation. 134, 108011.
  mla: Agasthya, Lokahith N., and Caroline J. Muller. “Dynamics and Scaling of Internally
    Cooled Convection.” <i>Communications in Nonlinear Science and Numerical Simulation</i>,
    vol. 134, 108011, Elsevier, 2024, doi:<a href="https://doi.org/10.1016/j.cnsns.2024.108011">10.1016/j.cnsns.2024.108011</a>.
  short: L.N. Agasthya, C.J. Muller, Communications in Nonlinear Science and Numerical
    Simulation 134 (2024).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: Data will be made available on request
date_created: 2024-04-14T22:01:01Z
date_published: 2024-07-01T00:00:00Z
date_updated: 2026-10-01T09:27:13Z
day: '01'
ddc:
- '550'
department:
- _id: CaMu
doi: 10.1016/j.cnsns.2024.108011
ec_funded: 1
external_id:
  arxiv:
  - '2311.04114'
  isi:
  - '001238294600001'
file:
- access_level: open_access
  checksum: 9b7c2b8281d0b7bc7f08e0468168324c
  content_type: application/pdf
  creator: dernst
  date_created: 2025-01-09T09:05:31Z
  date_updated: 2025-01-09T09:05:31Z
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file_date_updated: 2025-01-09T09:05:31Z
fulldoi: https://doi.org/10.1016/j.cnsns.2024.108011
has_accepted_license: '1'
intvolume: '       134'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
- _id: 629205d8-2b32-11ec-9570-e1356ff73576
  call_identifier: H2020
  grant_number: '805041'
  name: Organization of CLoUdS, and implications of Tropical  cyclones and for the
    Energetics of the tropics, in current and waRming climate
publication: Communications in Nonlinear Science and Numerical Simulation
publication_identifier:
  issn:
  - 1007-5704
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: upon request
scopus_import: '1'
status: public
supplementarymaterial: no
title: Dynamics and scaling of internally cooled convection
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 134
year: '2024'
...
